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Finding the Fourth Proportional to 378,543.76, 567,815.64 and 98,061

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Solution

The fourth proportional to 378,543.76, 567,815.64 and 98,061 is: 147,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,543.76 : 567,815.64 = 98,061 : x
  2. Step 2: Convert to fraction form
    378,543.76/567,815.64 = 98,061/x
  3. Step 3: Cross multiply
    378,543.76x = 567,815.64 × 98,061
  4. Step 4: Simplify right side
    378,543.76x = 55,680,569,474.04
  5. Step 5: Solve for x
    x = 55,680,569,474.04/378,543.76
  6. Step 6: Final answer
    x = 147,091.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.